add a narrow stone ledge at the top edge of the backsplash only under the range hood the ledge should be made of the same marble as the backsplash and extend horizontally across the backsplash area behind the cooktop but only the width of the cook top the depth should be approximately 3 4 inches and appear as a solid slab on top of the ledge add a thin brass rail system matching the reference image the rail should sit on small brass verticals and run the full length of the ledge lower the pot filler faucet so it is centered vertically within the backsplash area positioned comfortably above the cooktop but below the new ledge ensure all elements are proportionate and integrated naturally into the design with realistic lighting and shadows
